Let r1 t - 3t- - 4t2- and r2 t - 4t2- - 3t- represent the positions of particles 1 and 2- respectively as functions of time t- r1t and r2t are in metres and t is in seconds- The relative velocity of the two particles at the instant t-1s- will be

The correct option is C 5√(2)m/s Here in the question, it wants to ask #160; magnitude of relative velocity according to question.|Relative velocity| =|v ...

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Standard XII

Physics

Relative Velocity

Let r1 t = ...

Question

Let ${\to r}_{1} (t) = 3 t^i + 4 t^{2}^j$ and ${\to r}_{2} (t) = 4 t^{2}^i + 3 t^j$ represent the positions of particles 1 and 2, respectively as functions of time $t$ ; ${\to r}_{1} (t)$ and ${\to r}_{2} (t)$ are in metres and $t$ is in seconds. The relative velocity of the two particles at the instant $t = 1 s$ , will be

1 m / s

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3 \sqrt{2} m / s

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5 \sqrt{2} m / s

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7 \sqrt{2} m / s

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Solution

The correct option is C $5 \sqrt{2} m / s$
Here in the question, it wants to ask magnitude of relative velocity according to question.
|Relative velocity| =|v2-v1|

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Let →r1(t)=3t^i+4t2^j and →r2(t)=4t2^i+3t^j represent the positions of particles 1 and 2, respectively as functions of time t; →r1(t) and →r2(t) are in metres and t is in seconds. The relative velocity of the two particles at the instant t=1s, will be

The correct option is C 5√2m/sHere in the question, it wants to ask magnitude of relative velocity according to question.|Relative velocity| =|v2-v1|

The correct option is C $5 \sqrt{2} m / s$
Here in the question, it wants to ask magnitude of relative velocity according to question.
|Relative velocity| =|v2-v1|